Ellipse

Drag the red dot to move the centre of the ellipse. Exercises for students
Sketch the following curves on paper and check your graphs using the above applet:

x2 + y2 = 16	x2 + 16y2 = 16	16x2 + y2 = 16	4x2 + 9y2 = 36
(x-2)2 + 9y2 = 9	(x-2)2 + 9(y-3)2 = 9	(x-2)2 + 9(y+3)2 = 9	(x+2)2 + 9(y+3)2 = 9
x2 + y2 - 2x = 3	x2 + 4y2 - 2x = 3

Summary

The graph of	(x - h)2	+	(y - k)2	= 1
	a2		b2

is an ellipse centred at (h, k)
with radius = a in the x direction
and radius = b in the y direction




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